Greatest Common Factor of 5124/45, 5948/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5124/45, 5948/655

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5124/45,5948/655

Given fractions are 5124/45,5948/655

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5124,5948

Greatest Common Factor of Numerators i.e. GCF of 5124,5948 is 4 .

LCM of Denominators means LCM of 45,655 as per the given fractions.

LCM of 45,655 is 5895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5124,5948

GCF of Fractions 5124/45,5948/655 is 4/5895

2 5124, 5948
2 2562, 2974
1281, 1487

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5124,5948 By Matching Biggest Common Factor Method

Greatest Common Factor of 5124,5948 By Matching Biggest Common Factor Method

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Greatest Common Factor

We found the factors 5124,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,5948 is 4.

Lets's calculate LCM of 45,655

5 45, 655
9, 131

∴ So the LCM of the given numbers is 5 x 9 x 131 = 5895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5895

Therefore, the GCF of Fractions 5124/45,5948/655 is 4/5895

Least Common Multiple of 45,655 with GCF Formula

Least Common Multiple of 45,655 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 45,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,655) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(45,655) x common factors =5 x 1 = 5

LCM(45,655) = ( 45 × 655 ) / 5

LCM(45,655) = 29475 / 5

LCM(45,655) = 5895


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5124/45, 5948/655

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5124/45, 5948/655?

Answer: GCF of Numerators as per given numbers 5124/45, 5948/655 is

GCF of Numerators i.e. for 5124,5948 is 4

LCM of denominators i.e. for 45,655 is 5895.

Thus, GCF of Fractions is 4/5895.Finally, GCF of Fractions for 5124/45, 5948/655 is 4/5895.